典型文献
THE MULTIPLICITY AND CONCENTRATION OF POSITIVE SOLUTIONS FOR THE KIRCHHOFF-CHOQUARD EQUATION WITH MAGNETIC FIELDS
文献摘要：
In this paper,we study the multiplicity and concentration of positive solutions for the following fractional Kirchhoff-Choquard equation with magnetic fields:(aε2s+bε4s-3[u]2ε,A/ε)(-△)sA/εu+V(x)u=ε-α(Iα *F(|u|2))f(|u|2)u in R3.Here ε＞0 is a small parameter,a,b＞0 are constants,s ∈(0,1),(-△)sA is the fractional magnetic Laplacian,A:R3→R3 is a smooth magnetic potential,Iα=Γ(3-α)/2/2απ3/2Γ(α/2)·1/|x|α is the Riesz potential,the potential V is a positive continuous function having a local minimum,and f:R→R is a C1 subcritical nonlinearity.Under some proper assumptions regarding V and f,we show the multiplicity and concentration of positive solutions with the topology of the set M:={x ∈ R3:V(x)=inf V}by applying the penalization method and Ljusternik-Schnirelmann theory for the above equation.
文献关键词：
中图分类号：
作者姓名：
Li WANG;Kun CHENG;Jixiu WANG
作者机构：
College of Science,East China Jiaotong University,Nanchang 330013,China;Department of Information Engineering,Jingdezhen Ceramic Institute,Jingdezhen 333403,China;School of Mathematics and Statistics,Hubei University of Arts and Science,Xiangyang 441053,China
文献出处：
引用格式：
[1]Li WANG;Kun CHENG;Jixiu WANG-.THE MULTIPLICITY AND CONCENTRATION OF POSITIVE SOLUTIONS FOR THE KIRCHHOFF-CHOQUARD EQUATION WITH MAGNETIC FIELDS)[J].数学物理学报（英文版）,2022(04):1453-1484
A类：
MULTIPLICITY,CONCENTRATION,POSITIVE,KIRCHHOFF,CHOQUARD,EQUATION,MAGNETIC,FIELDS,2s+b,Ljusternik,Schnirelmann
B类：
THE,AND,SOLUTIONS,FOR,WITH,In,this,paper,we,study,multiplicity,concentration,positive,solutions,following,fractional,Kirchhoff,Choquard,equation,magnetic,fields,4s,sA,u+V,R3,Here,small,parameter,are,constants,Laplacian,smooth,potential,Riesz,continuous,function,having,local,minimum,C1,subcritical,nonlinearity,Under,some,proper,assumptions,regarding,show,topology,set,inf,by,applying,penalization,method,theory,above
AB值：
0.526752
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